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Finding the Third Proportional to 24,288 and 37,497

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Solution

The third proportional to 24,288 and 37,497 is: 57,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,288 : 37,497 = 37,497 : x
  2. Step 2: Convert to fraction form
    24,288/37,497 = 37,497/x
  3. Step 3: Cross multiply
    24,288x = 37,497 × 37,497
  4. Step 4: Simplify right side
    24,288x = 1,406,025,009
  5. Step 5: Solve for x
    x = 1,406,025,009/24,288
  6. Step 6: Final answer
    x = 57,889.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.